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Finding the Fourth Proportional to 338,133.17, 506,866.23 and 188,443.96

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Solution

The fourth proportional to 338,133.17, 506,866.23 and 188,443.96 is: 282,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,133.17 : 506,866.23 = 188,443.96 : x
  2. Step 2: Convert to fraction form
    338,133.17/506,866.23 = 188,443.96/x
  3. Step 3: Cross multiply
    338,133.17x = 506,866.23 × 188,443.96
  4. Step 4: Simplify right side
    338,133.17x = 95,515,878,304.31
  5. Step 5: Solve for x
    x = 95,515,878,304.31/338,133.17
  6. Step 6: Final answer
    x = 282,480.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.